Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 562, 882, 66, 349 i.e. 1 largest integer that divides all the numbers equally.
GCD of 562, 882, 66, 349 is 1
GCD(562, 882, 66, 349) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 562, 882, 66, 349 is 1
GCD(562, 882, 66, 349) = 1
Given Input numbers are 562, 882, 66, 349
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 562
List of positive integer divisors of 562 that divides 562 without a remainder.
1, 2, 281, 562
Divisors of 882
List of positive integer divisors of 882 that divides 882 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 349
List of positive integer divisors of 349 that divides 349 without a remainder.
1, 349
Greatest Common Divisior
We found the divisors of 562, 882, 66, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 562, 882, 66, 349 is 1.
Therefore, GCD of numbers 562, 882, 66, 349 is 1
Given Input Data is 562, 882, 66, 349
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 562 is 2 x 281
Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 349 is 349
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(562, 882) = 247842
GCD(562, 882) = ( 562 x 882 ) / 247842
GCD(562, 882) = 495684 / 247842
GCD(562, 882) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 66) = 66
GCD(2, 66) = ( 2 x 66 ) / 66
GCD(2, 66) = 132 / 66
GCD(2, 66) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 349
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 349) = 698
GCD(2, 349) = ( 2 x 349 ) / 698
GCD(2, 349) = 698 / 698
GCD(2, 349) = 1
GCD of 562, 882, 66, 349 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 562, 882, 66, 349?
GCD of 562, 882, 66, 349 is 1
2. Where do I get the detailed procedure to find GCD of 562, 882, 66, 349?
You can find a detailed procedure to find GCD of 562, 882, 66, 349 on our page.
3. How to find GCD of 562, 882, 66, 349 on a calculator?
You can find the GCD of 562, 882, 66, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.